Решите уравнение 4sin^2(2x+pi/3)=1

Предыдущий
вопрос Следующий
вопрос

4sin^2(2x+π/3) = 1

sin^2(2x+π/3) = 1/4

sin(2x+π/3) = ±1/2

2x + π/3 = arcsin(±1/2)

2x + π/3 = π/6 or 2x + π/3 = 5π/6 or 2x + π/3 = 7π/6 or 2x + π/3 = 11π/6

Solving for x:

x = -π/6 or x = π/12 or x = 3π/6 or x = 5π/6

Answer: x = -π/6, π/12, 3π/6, 5π/6.